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Three charges +q, -q and +q are kept at ...

Three charges +q, -q and +q are kept at the corners of an equilateral triangle of side d. Find the resultant electric force on a charge +q placed at the centroid O of the triangle.

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To solve the problem of finding the resultant electric force on a charge \( +q \) placed at the centroid \( O \) of an equilateral triangle with charges \( +q \), \( -q \), and \( +q \) at its vertices, follow these steps: ### Step-by-Step Solution: 1. **Identify the Geometry and Charges:** - Consider an equilateral triangle with vertices \( A \), \( B \), and \( C \). - Place charges \( +q \) at \( A \), \( -q \) at \( B \), and \( +q \) at \( C \). - Place a charge \( +q \) at the centroid \( O \). ...
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Knowledge Check

  • Consider three charges q_(1),q_(2) and q_(3) each equal to q , at the vertices of an equilateral triangle of side l. What is the force on a charge Q placed at the centroid of the triangle?

    A
    `(3Qq)/(4piepsilon_(0)l^(2))`
    B
    `(2Qq)/(4piepsilon_(0)l^(2))`
    C
    `(Qq)/(2piepsilon_(0)l^(2))`
    D
    zero
  • Consider the charges q,q and -q placed at the vertices of an equilateral triangle of each side l. What is the force on each charge ?

    A
    `q^(2)/(4sqrt2piepsilon_(0)l^(2))`
    B
    `(-q^(2))/(4piepsilon_(0)l^(2))`
    C
    `(q^(2))/(4piepsilon_(0)l^(2))`
    D
    zero
  • Electric charges q, q, –2q are placed at the corners of an equilateral triangle ABC of side l. The magnitude of electric dipole moment of the system is

    A
    ql
    B
    `sqrt(3)ql`
    C
    zero
    D
    4ql
  • AAKASH SERIES-ELECTRIC CHARGES AND FIELDS-Practice Exercise
    1. Three charges +q, -q and +q are kept at the corners of an equilateral ...

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    2. When charge is given to a body

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    3. Calculate force between two charges of 1C each separated by 1m in vacu...

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    4. Two equal and opposite charges are placed at a certain distance apart ...

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    5. Two positively charged small particles, each of mass 1.7 xx 10^(-27) k...

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    6. The minimum electrostatic force between two charged particles placed a...

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    7. The force between two alpha-particles separated by a distance .r. is F...

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    8. The force between two charges 0.06m apart is 5N. If each charge is mov...

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    9. Four point charges qA = 2 µC, qB = –5 µC, qC = 2 µC, and qD = –5 µ C a...

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    10. The force between two charges separated by a distance 1m is 1.8N. The ...

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    11. In 1 gram of solid, there are 5 xx 10^(21) atoms. If one electron is r...

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    12. Two positively charged particles each of mass is 9 xx 10^(-30)kg and c...

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    13. A charge Q is divided into two charge q and Q-q. The value of q such t...

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    14. The ratio of the forces between two charges placed at a certain distan...

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    15. Two point charges +2C and +6C repel each other with a force of 12N. If...

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    16. Two small balls having equal positive charge Q (coulumb) on each suspe...

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    17. The force between two charges 4C and -2C which are separated by a dist...

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    18. Two charges 9 mu C and 1mu C are placed at a distance of 30cm. The pos...

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    19. Three point charges Q(1), Q(2) and Q(3) in that order are placed equal...

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    20. A long solenoid having n = 200 turns per metre has a circular cross-se...

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    21. 10C and 20C are separated by a distance d. If the electric field at th...

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